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Popular Functions >

range of f(x)=-5-2(x+3)^2

Solution

range

Solution

f (x) \leq - 5

+1

Interval Notation

Solution steps

Vertex of

- 5 - 2 (x + 3)^{2} :

Maximum

(- 3, - 5)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = - 2,

Vertex

(x_{v}, y_{v}) = (- 3, - 5)

f (x) \leq - 5

Graph

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Frequently Asked Questions (FAQ)

What is the range of f(x)=-5-2(x+3)^2 ?
The range of f(x)=-5-2(x+3)^2 is f(x)<=-5